82765075008 has 448 divisors, whose sum is σ = 291465658368. Its totient is φ = 20065812480.

The previous prime is 82765074971. The next prime is 82765075013. The reversal of 82765075008 is 80057056728.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31917360 + ... + 31919952.

Almost surely, 2^82765075008 is an apocalyptic number.

82765075008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82765075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145732829184).

82765075008 is an abundant number, since it is smaller than the sum of its proper divisors (208700583360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82765075008 is a wasteful number, since it uses less digits than its factorization.

82765075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 82765075008 in words is "eighty-two billion, seven hundred sixty-five million, seventy-five thousand, eight".